A resource-based model of microbial quiescence

Journal of Mathematical Biology

Volumn 53, Issue 2, 2006, Pages 231-252

  Malik, Tufail ^a   Smith, Hal ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTATION; ALGORITHM; ARTICLE; BACTERIUM; BIOLOGICAL MODEL; ECOLOGY; ECOSYSTEM; GROWTH, DEVELOPMENT AND AGING; MICROBIAL VIABILITY; PHYSIOLOGY;

ADAPTATION, PHYSIOLOGICAL; ALGORITHMS; BACTERIA; ECOLOGY; ECOSYSTEM; MICROBIAL VIABILITY; MODELS, BIOLOGICAL;

EID: 33746406764     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-006-0003-4     Document Type: Article

References (25)

1. Arino, O., Sanchez, E., Webb, G.F.: Necessary and sufficient conditions for asynchronous exponential growth in age structured cell populations with quiescence. J Math Anal Appl 215(2), 499-513 (1997)
2. Bailey, J.E., Ollis, D.: Biochemical engineering fundamentals, 2nd ed. NY: McGraw Hill 1986
3. Bär, M., von Hardenberg, J., Meron, E., Provenzale, A.: Modelling the survival of bacteria in drylands: the advantage of being dormant. Proc R Soc Lond B 269, 937-942 (2002)
4. Cunningham, A., Maas, P.: Time lag and nutrient storage effects in the transient growth response of Chlamydomonas reinhardii in nitrogen-limited batch and continuous culture. J Gen Microbiol 104, 227-231 (1978)
5. De Groot, W.T.: Modelling the multiple nutrient limitation of algal growth. Ecol Model 99-119 (1983)
6. Drenkard, E., Ausubel, F.M.: Pseudomonas biofilm formation and antibiotic resistance are linked to phenotypic variation. Nature 416, 740-743 (2002)
7. Grover, J.P.: Constant and variable yield models of population growth: responses to environmental variability and implications for competition. J Theor Biol 158, 409-28 (1992)
8. Grover, J.P.: Resource competition. Population and community biology series 19. New York: Chapman and Hall 1997
9. Gyllenberg, M., Webb, G.F.: Age-size structure in populations with queiscence. Math Biosci 86, 67-95 (1987)
10. Gyllenberg, M., Webb, G.F.: Quiescence as an explanation of Gompertzian tumor growth. Growth Dev Aging 53, 25-33 (1989)
11. Gyllenberg, M., Webb, G.F.: A nonlinear structured population model of tumor growth with quiescence. J Math Biol 28, (6), 671-694 (1990)
12. Gyllenberg, M., Webb, G.F.: Quiescence in structured population dynamics: applications to tumor growth. Mathematical population dynamics (New Brunswick, NJ, 1989), 4562
13. Lecture Notes in Pure and Appl math, 131. New York: Dekker, 1991
14. Hansen, S.R., Hubbell, S.P.: Single nutrient microbial competition:agreement between theoretical and experimental forecast outcomes. Science 207, 1491-1493 (1980)
15. Hu, Y., Butcher, P.D., Mangan, J.A., Rajandream, M-A., Coates. A.: Regulation of hmp gene transcription in Mycobacterium tuberculosis: effects of Oxygen limitation and nitrosative and oxidative stress. J Bacteriol 181, 3486-3493 (1999)
16. Jäger, W., Krömker, S., Tang, B.: Quiescence and transient growth dynamics in chemostat models. Math. Bio. sci. 119, 225-239 (1994)
17. Kaprelyants, A.S., Gottschal, J.C., Kell, D.B.: Dormancy in non-sporulating bacteria. FEMS Microbiol. Rev 10(3-4), 271-286 (1993)
18. Kell, D.B., Kaprelyants, A.S., Weichart, D.H., Harwood, C.R., Barer, M.R.: Viability and activity in readily culturable bacteria: a review and discussion of the practical issues. A van Leeuwenhoek 73, 169-187 (1998)
19. Smith, H.L., Waltman, P.: The theory of the chemostat. Cambridge: Cambridge University Press 1995
20. Sommer, U.: The paradox of the plankton: fluctuations of phosphorus availability maintain diversity of phytoplankton in flow-through cultures. Limnol Oceanogr 29, 633-636 (1984)
21. Sommer, U.: Competition and coexistence. Nature 402, 366-367 (1999)
22. Tang, B., Sitomer, A., Jackson, T.: Population dynamics and competition in chemostat models with adaptive nutrient uptake. J Math Biol 35, 453-479 (1997)
23. Tilman, D.: Resource competition and community structure. Princeton: Princeton University Press 1982
24. Tilman, D.: Dynamics and structure of plant communities. Princeton: Princeton University Press 1988
25. Wayne, L.G., Hayes, L.G.: An in vitro model for sequential study of shiftdown of Mycobacterium tuberculosis through two stages of nonreplicating persistence. Infect Immun 64, (6), 2062-2069 (1996)